Investigation on the $Ω(2012)$ from QCD sum rules
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866914876089171968 |
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| author | Su, Niu Chen, Hua-Xing Gubler, Philipp Hosaka, Atsushi |
| author_facet | Su, Niu Chen, Hua-Xing Gubler, Philipp Hosaka, Atsushi |
| contents | We study the recently observed $Ω(2012)$ baryon in QCD sum rules. We construct the $P$-wave $Ω$ baryon currents with a covariant derivative, and perform spin projection to obtain the currents with total spin 1/2 and 3/2. We then apply the parity-projected QCD sum rules to separate the contributions of the positive and negative parity states. We extract the masses of $J^P = 1/2^-$ and $3/2^-$ states to be $M_{1/2^-} = 2.07^{+0.07}_{-0.07}{\rm~GeV}$ and $M_{3/2^-} = 2.05^{+0.09}_{-0.10}{\rm~GeV}$. Both results are in good agreement with the experimental result. Therefore, it is likely that the $Ω(2012)$ is a negative parity state, which is interpreted as a $P$-wave excited state in the quark model. However, its spin is not determined in the present analysis, which can be done by detailed study on its decay properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_06958 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Investigation on the $Ω(2012)$ from QCD sum rules Su, Niu Chen, Hua-Xing Gubler, Philipp Hosaka, Atsushi High Energy Physics - Phenomenology We study the recently observed $Ω(2012)$ baryon in QCD sum rules. We construct the $P$-wave $Ω$ baryon currents with a covariant derivative, and perform spin projection to obtain the currents with total spin 1/2 and 3/2. We then apply the parity-projected QCD sum rules to separate the contributions of the positive and negative parity states. We extract the masses of $J^P = 1/2^-$ and $3/2^-$ states to be $M_{1/2^-} = 2.07^{+0.07}_{-0.07}{\rm~GeV}$ and $M_{3/2^-} = 2.05^{+0.09}_{-0.10}{\rm~GeV}$. Both results are in good agreement with the experimental result. Therefore, it is likely that the $Ω(2012)$ is a negative parity state, which is interpreted as a $P$-wave excited state in the quark model. However, its spin is not determined in the present analysis, which can be done by detailed study on its decay properties. |
| title | Investigation on the $Ω(2012)$ from QCD sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2405.06958 |